Jacquet Modules of Principal Series Generated by the Trivial -Type
Noriyuki Abe
Hokkaido University, Sapporo, Japan
![Jacquet Modules of Principal Series Generated by the Trivial $K$-Type cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-prims-volume-44-issue-4.png&w=3840&q=90)
Abstract
We propose a new approach to the study of the Jacquet module of a HarishChandra module of a real semisimple Lie group. Using this method, we investigate the structure of the Jacquet module of a principal series representation generated by the trivial -type.
Cite this article
Noriyuki Abe, Jacquet Modules of Principal Series Generated by the Trivial -Type. Publ. Res. Inst. Math. Sci. 44 (2008), no. 4, pp. 1169–1197
DOI 10.2977/PRIMS/1231263783